Semi-groups and time operators for quantum unstable systems

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dc.creatorCourbage, Maurice
dc.date2004-10-11
dc.date.accessioned2026-07-07T06:11:05Z
dc.date.available2026-07-07T06:11:05Z
dc.descriptionWe use spectral projections of time operator in the Liouville space for simple quantum scattering systems in order to define a space of unstable particle states evolving under a contractive semi-group. This space includes purely exponentially decaying states that correspond to complex eigenvalues of this semi-group. The construction provides a probabilistic interpretation of the resonant states characterized in terms of the Hardy class.
dc.identifierhttps://arxiv.org/abs/quant-ph/0410082
dc.identifierhttp://arxiv.org/abs/quant-ph/0410082
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/92434
dc.subjectQuantum Physics
dc.titleSemi-groups and time operators for quantum unstable systems
dc.typetext

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